by
Hall, Prentice

Answer

$2\frac{1}{6}\geq k$

Work Step by Step

$17-(4k-2)\geq2(k+3)\longrightarrow$ multiply using the distributive property
$17-4k+2\geq2k+6\longrightarrow$ combine like terms
$19-4k\geq2k+6\longrightarrow$ add 4k to each side
$19-4k+4k\geq2k+6+4k\longrightarrow$ add
$19\geq6k+6\longrightarrow$ subtract 6 from each side
$19-6\geq6k+6-6\longrightarrow$ subtract
$13\geq6k\longrightarrow$ divide each side by 6
$13\div6\geq6k\div6\longrightarrow$ divide
$2\frac{1}{6}\geq k$